Rastelli Leonardo, Zhou Xinan
C.N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, New York 11794, USA.
Phys Rev Lett. 2017 Mar 3;118(9):091602. doi: 10.1103/PhysRevLett.118.091602. Epub 2017 Mar 1.
We revisit the calculation of holographic correlation functions in type-IIB supergravity on AdS_{5}×S^{5}. Results for four-point functions simplify drastically when expressed in Mellin space. We conjecture a compact formula for the four-point functions of one-half Bogomol'nyi-Prasad-Sommerfield single-trace operators of arbitrary weight. Our methods rely on general consistency conditions and eschew detailed knowledge of the supergravity effective action.
我们重新审视了IIB型超引力在AdS₅×S⁵上全息关联函数的计算。当用梅林空间表示时,四点函数的结果大幅简化。我们推测了任意权重的二分之一博戈莫尔尼-普拉萨德-索末菲单迹算符四点函数的一个紧凑公式。我们的方法依赖于一般的一致性条件,避免了对超引力有效作用量的详细了解。